The time for one cycle of a periodic pm ;*4y -8huzrtvrqn j3rocess is called the

  For a periodic process, gel p8e55ca4gp acv* 0the number of cycles per unit time is called the

  For vibrational motion, the maximum displacem-xu imtjbssf8/, .8v ment from the equilibrium point is called t s .jmu8fs/8-b,xvtimhe

  A mass on a spring undergoes SHM. When the:g4 htgt*v7 zz/ :mus0 k4qeyu mass is at its maximum displacement from equilibrium, its i thz:utv* 4 ey/k7zqugs 4:mg0nstantaneous velocity

  A mass on a spring undergoes SHM. When the mass passes through the equilib :r y)rf(f q;zaw+p7pnrium position, its instantaneous v 7r+af(:qppz ) rywf;nelocity

  A mass on a spring undergoes SHM. -(kdk,38gihvv ,h8(ttx r 86twylv lq When the mass is at maximum displacement from equilibrium, its instanlhg,8 k ( rv3(8tx -w68hltykdq,t vivtaneous acceleration

  A mass is attached to a vertical spring and bobs ub,vs01 xjgfrnkohdq+9m;3 +d p and down between points A and B. Where is thqd;fk , 0b9mx+grnj1svdoh+3 e mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between poin 1c--p crt+k3tqtpazf f34x1kts A and B. Where is the mass located 4 pc t -ratff1xzk ct31+-p3qkwhen its kinetic energy is a maximum?

  A mass is attached to a vertical spring and bobs up fv3ywe-jj9y+hj6 +vc and down between points A and B. Where is the mass located when its potential energy jwv+hv yj3+ -f96eycj is a minimum?

  A mass is attached to a vertical sza/w7d l8esb 0- ves(cpring and bobs up and down between points A and B. Where is the mass located when its potee d7svcwe sa0 -(b/z8lntial energy is a maximum?

  Doubling only the amplitudense up/j2 izqslud8j/w ;..o( of a vibrating mass-and-spring system produces what effect on the system's mechanic.e; .nwo 2p/duq(/siul js8zj al energy?

  Doubling only the mass of a vibrating mass-and-spring system produces zc.ue6w/736 g3 sn7trrcji1xguw5je what effect on the system's wgj.6 7zn3 371grrt6cue/jxswe c 5uimechanical energy?

  Doubling only the spring constant of a vibrating mass-and-spring system pryu /m ef.h:+fpl 94pqyoduces what effect on the system's 9e4ff+u m: p/hpy.yql mechanical energy?

  A mass oscillates on the end of a spring, bothv q-qi08 -nzmv on Earth and on the Moon. Where is the period theivq8- m 0vn-zq greatest?

  Increasing the spring constant k ofri,mfy3mp0sz q(*74amna b/ a.vbz.k a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume no cha a, /rm7mi.spqn* av.zakm4zyf0(bb 3nge in the system's mass m.)

  Increasing the mass M of a mass-and-spring system causes what kind of chang/g)2cs oimgucq- 07q0k iphk* .n ikx1e in the resonant frequency of the system? (Assume no change in the.hki7gix k 2-uqm knq00*/csio p 1cg) system's spring constant k.)

  Increasing the amplitude of a mass-and-spring system caus9tlzv ply.-4z es what kind of change in the resonant frequency of the system? (Assume no other changes in the system9 t l-yvzplz4..)

  A mass $m$ hanging on a spring has a natural frequency f. If the mass is increased to $4m$, what is the new natural frequency?

  A simple pendulum consists of a mass M attached to a weightless string of leng 6tesut;bd fa5:e .:nzth L. For this system, when undergoing smalz :n a5eest;tb6fd:.ul oscillations

  When the mass of a simple pendulum is tripled, the time required for one con 4/ .6xzvmej,ncn,kzmplete vibmn/nc,zz6 nvjx 4,ke.ration

  Both pendulum A and B are 3.0 m long. The period of A is T. Penduluj zy k4eb:iu9bad5 zi5wq7,8wm A is twice az4ieaw,qwu: j8b9kdbz5 57i ys heavy as pendulum B. What is the period of B?

  When the length of a simple pendulum is tri65on9ible ikx2s e:/ej .*vi lpled, the time for one complete vibration increases by 9:/6ei2li oj5eksnb .e v*xlia factor of

  What happens to a simphbm 0)kgzdsloe 9f-7 g;q6vmde )4j7ele pendulum's frequency if both its length and mass are increased?qzgbhvoje mf7;64d907l m) ds g)e-ke

  Simple pendulum A swings back and fort9y sxy .s/t: brp2k:piyf95l9 okw ui5h at twice the frequency of simple pendulum B. Wuixsbykp.i9 l:2yts/ry o5fw:9 k59phich statement is correct?

  If you take a given pend9ye .k0s axecxfir) ne +l96u2ulum to the Moon, where the acceleration of gravity is less than on Earth0 fs+) xae6uec2 e9in. lkrx9y, the resonant frequency of the pendulum will

  Curve A in Fig. 11-1 repre0j i0ciqs,.u),sjmwhm: jy-t sents

  Curve B in Fig. 11-1 representx5yc v(s* dkir;.7j cys

  Curve C in Fig. 11-1 rep.1zrhx v4tmywloxsj , .-);ib resents

  For a forced vibration, the amplitude of vibration is foundsh4xsr ; hz tf* q9do9+:r7lmw to depend on the

  In a wave, the maximum displacement of points of the wave from e6vs3:aamao,wc: g;ov quilibrium is called twg : :smc6a v3,aao;vohe wave's

  The distance between successive cresw+u439w iv ztqapmd20 suf 28vts on a wave is called the wave's

  The number of crests of a wave passing a point per unit time is called the w.rsebc m uf2eoib;nozfrfc*). +-/ ;uave' .zfbf)b r.;f/uc-see+ 2mrnuo o*c;is

  For a wave, the frequency times the wavelength is the )bostmbojj) ssts e 9n; 5 g1ridf8(-lc3;1ho wave's

  The frequency of a wavf2h kry hi6z1,e increases. What happens to the distance between successivik2h,zrhy6 f1e crests if the speed remains constant?

  A wave moves on a string with wavelength l and fdmdz xu2d01y2 requency f. A second wave on the same string has wavelength 2l and travels with the x2mdy0zd21ud same velocity. What is the frequency of the second wave?

  Consider a traveling wave on a strizb(; saa t/v5bng of length L, mass M, and tension T. A standing wave bsvaat z5; (b/is set up. Which of the following is true?

  A string of mass m and length L is under tension T. The speed of a wc5gf )z-t4/))vhq dhclime: e ave in the string is v. What will be the speed of a wave in the string if the mass of the string is increased to 2m, wit) qzg tf )lvh-cihe5e/4:mcd)h no change in length?

  A string of mass m and length L is under tension a i:fn 0o*rc5om -j5rs:2bdtbT. The speed of a wave in the string is cooi05s-5bb2a *f :rnm :jdrt v. What will be the speed of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tens d53cjzj.knb 5am3ja(ion T. The speed of a wave in the string is v. What will n3ajbj(c.5m53 akzjd be the speed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a 9fp2:xf dbhjqs 29 .cbtransverse wave. As an S wave travels through the Earth,q92 xdbp9j:fs f2c.bh the relative motion between the S wave and the particles is

  In seismology, the P wave is a l;mo ;kzjv2vwi85zihfb- d ): 8b o1zslongitudinal wave. As a P wave travels through the Eartmf-8dlvz):wzio os1jk v ;28zi bb;5hh, the relative motion between the P wave and the particles is

  The intensity of a wave i3sft2dqsk3 hl .t 5f fc;jx*d3s

  A wave pulse traveling to the right along a thin cord reaches a .zs+ 5jbeh39ecnacw / discontinuity where the rope becomes thicker and heavier. W .j93wbseh+5c za/ecn hat is the orientation of the reflected and transmitted pulses?

  Two wave pulses with eque; u( fvatsdyj,i0k2cni6 ))s al positive amplitudes pass each other on a string, one is traveling toward the righu;s0)i fn c (ei2dsv,ja 6kyt)t and the other toward the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The y.cz 7gaq5hqlak7 -7gh 5.xn qhm1z9pone traveling toward the right has a positive amplitude, whc9 qk.5a 7l1h 7qx5yga hmph.-qzng7z ile the one traveling toward the left has an equal amplitude in the negative direction. At the point that they occupy the same region of space at the same time

  Resonance in a system, such as a string fixed pwsft 8zc+(ndjqq725 at both ends, occurs when

  If one doubles the tension in a violin string, the fundamental frequencsqvl.o7.+z,no fcy*l y of that string will increase by a factorq7, o.lczvy .nf* los+ of

  What is the spring constant of a spring that stretches 2.00 cmnixrc . ww)5ttm.jnp) 1+k vzz*c+v 7c when a mass of 0.n*xz+tjk+tvcni)1.pz5wvr.c w7 )c m 600 kg is suspended from it?

  A mass is attached to a spring ofyxyx)ey4 i;4gc) 5 kh0czfy- k spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equ 0xkc44e)yky g);i y-y5xczfhilibrium position when it is oscillating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a horizontal, f0a 9 t2,tj hxf1xm/socrictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go.hmj1tfo2x 9,tsa/ 0xc It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constant 60h3yml 1wxui 8fog t):+ N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the fre)o 3+i8: fmh1w gtyxulquency of oscillation?

  A mass on a spring undergoes SHM. It g1xx o rtd6x+l7oes through 10 complete oscillations in 5.0 s. What is the periodxx7+6 xt1 ordl?

  A mass vibrates back and forth from the free end of an ideal spring of spring cpqr(+ oonu31 monn(rqo umo+1p3stant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a lpd; zwgne5v2 eu4 *7dspring of spring constant 20 N/m along a horizontal, frictionless surface. The object od2g u5d*e ;7n4epvwlz scillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the total energy of the system?

  A mass undergoes SHM with amplitude of 4 cm. T2bsom( cfu) k9he energy is 8.0 J at this time. The mass is cut in half, and the system is again set in motion with amplitude 4.0 f29kmouc)sb ( cm. What is the energy of the system now?

  A 0.50-kg mass is attached to y-yfi *gd*4ni r u78sna spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium positi74 yn ungfiy d8sir**-on. What is the amplitude of vibration?

  A 0.50-kg mass is att+q ) d,* *( mnqjnxzvog*by:y 8cdpzx-ached to a spring of spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. At what location are the kinetic energy and the potential energy thb+y *p nzv**dm(:q-xnd)y 8cq,gxzj o e same?

  A 2.0-kg mass is attached to the end of a horizontakvs u94,l:sy cl spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10 m. What is the total mechanical energy of this 9svukys:c l 4,system?

  A 2.0-kg mass is attached to the end of a horizontal spring of :w*/ tpi8ma2:zd(y8aek xkqlspring constant 50 N/m and set into simple harmonic motion with an amplitudeaqtewkxz8ika2d y/:l :(m*8 p of 0.10 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from t j.p., sfu7cl kg/mhh ,g1(t)an5 ckmjhe free end of an ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibratcn/.). , fmms1hh(p ucjkklg7j g5at,ing mass?

  The mass of a mass-and-spring system is disxzj(88 (v umtxplaced 10 cm from its equilibrium position and released. A frequency of 4.0 Hz is observed. Wh8xt (j8m(zu vxat frequency would be observed if the mass had been displaced only 5.0 cm and then released?

  A 4.0-kg object is attaqtn cwjqr2 *7(ched to a spring of spring constant 10 N/m. The object is q7cjnrtq (2*wdisplaced by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached to a sprinfu)5:* u dzsang of spring constant 10 N/m. The object is displaaunz) ud5 fs:*ced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung from a spring of spring constant 18sjdbhat6vr;: 5 5)rrl nt2c3 j N/m, displaced slightly from its equilibrium position, and released. What is the frequency d: h;5l 3jcsa2vnrtt6br )5r jof its vibration?

  A mass is attached to a spring. It oscils+ac1/fpgzpc,l8 dy6i q)q z5 lates at a frequency of 1.27 Hz when displaced a distance of 2.0 cm from equilibrium and released. What is the maximum velocity attained by8c 1lsfgq qz +z6a dpipc5),/y the mass?

  Two masses, A and B, are attached to different springs. .+ 8lood tee;kMass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a frequency of 16 Hz. +o.;ltode8k e How does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is su* 6gl afb kedbvcc315/spended on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass gbfav3/dcelk5 6b1c* is then pulled an additional distance of 1.0 cm down and released from rest. Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretche/(nvl6sbsqh-ve 0 b+ ps the spring 2.0 cm downward. The mass is then pullevbne+ (0s6/h -qvl psbd an additional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretch+ cpj x)ufgqy6,-k a-qes the spring 2.p6qc,auk+ qgfj- y) x-0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the following pos 6. rxxg6qc,hdition versus time equati,c6x6 rxhgd q.on:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys f lyb*:3a. je1y (didrthe following position versus time equla: 1 3(.ifryd* edjbyation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motiooj2zgl 9 8b-5cq :rxk3nm:rph wm+ cx,n obeys the following position versus time equatxom3 ::8p ,5-mqrzcl w9x nkjhgbcr+2ion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring executes simple harmonic mol xk*1d ck;i*el+o ac7l7uy+ jtion according to the equ;l 77*e+ +cu *y1jidka llkxocation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring wzgmcaq lzb+slr80/7q*,/ .dl1 h gy fiith a force constant of 20.0 N/m oscillates on a horizontal, frictionless track. At t= 0, the mass is released from rest at x= lz*rl il8.,/sha7fqgmdz+ g q/y10cb10.0 cm. (That is, the spring is stretched by 10.00 cm.)
(a) Determine the frequency of the oscillations.
(b) Determine the maximum speed of the mass. Where does the maximum speed occur?
(c) Determine the maximum acceleration of the mass. Where does the maximum acceleration occur?
(d) Determine the total energy of the oscillating system.
(e) Express the displacement as a function of time.

  A pendulum makes 12 complete swings in 8.0 j.)xumjgjq 27 y d2g-ms. (a) What are its frequency and period ong.gq yju2)m- d jm2j7x Earth?

  A 3.00-kg pendulum is 28.84 m long)r;k:.hx f+ ksd dkqr+. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its lmo n*btpas6o7p 57-buength?

  The pendulum of a grandfather clock is 1.0 m long. What is its pe3-q(ajmx dxz *-de1ql1cn 9dv riod on the Eartl- (az-qedxj3cvdn 1xq19md*h?

  The pendulum of a grandfather clock is 1.0 m long. What is its peri2l e h5bjcncqqr)-- 0,k.l myeod on the Moon where the acceleration due to gravirjnc-h0kyqle2c,elb )- 5. mqty is only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mass attached to a x.px/ 3 /tf1t. xxhqmmmassless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2.0 Hz. What frequency would have resulted ifm .x3x/.h x m1p/tqxtf a 0.50-kg mass (same diameter sphere) had been attached to the string instead?

A simple pendulum consisting of a 20-g mass has initial angular displacemenc *wkif,dm 5p xzn9s2:tdfw 60t of 8.0e. It oscillates with adzi n:0w ,*6fc kxpfdmt9w2s5 period of 3.00 s.
(a) Determine the length of the pendulum.
(b) Does the period of the pendulum depend on the initial angular displacement?
(c) Does the period of the pendulum depend on the mass of the pendulum?
(d) Does the period of the pendulum depend on the length of the pendulum?
(e) Does the period of the pendulum depend on the acceleration due to gravity?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of the wakjj0:9 *tha2qexma7 cve is 1279jtxhaj:qa*m 2 eck00 Hz. What is the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given tim1sf rcsg+nf .1e. The frequency of the wave is 1c1s.nf1grs+ f20 Hz. What is the wavelength?

  Figure 11-2 is a "snapsholi5rfd2 :xk *p3fw)1yzdg- ;iv 9kxgg t" of a wave at a given time. The frequency of the wave is 120 Hz. What is the wave spe ;vir-1kig2z 3)yf5ldg*xdwg9 :fpk xed?

  What is the frequency of a wave which has a n:j -tlet5ry3bhv) d 8period of 6.00 ms?

  What is the period of a wave with a frequency of;id4to7; 7gozn+25 a kqkcvt b 1500 Hz?

  What is the wave speed if a wave has a frequency of +ouiwfpv.z5t (jv5ak( u 8 o-y12 Hz and a wavelength of 3.0iuo 8v .5-zk5+(w ftuypoa( jv m?

  What is the velocity of a wave tha meq+ n6 .mdei6qyxirsq1 g88/t has a wavelength of 3.0 m and a frequency of 1 m/1 8mg.qry+qisie 6e6q8dxn 2 Hz?

  What is the frequency of a 2.5 m wave tru 8(g2r go 61exskgr e1p*uy,gaveling at 1400 m/s?

  A piano string of linear mass density 0.0050 k gxxjhoy;mz; ) f )o1/gvarz28g/m is under a tension of 1350 N. W/;zfrx;g28hmj g) yv1z )oxoahat is the wave speed?

  A string of linear density 6.0 g/m is under aa-7lc*4wv6y8fdh mg i tension of 180 N. What is the velocity of propagation of transviylw4h-m 7 d cf*6ga8verse waves along the string?

A wave whose wavelength is 0.500 m is traveling down a 500 m lon40tpg 8- / yp5vlccnlwg wire whose total mass 0l 5l8ccvw- /pnypt4 gis
25.0 kg. The wire is under a tension of 2000 N.
(a) Determine the velocity of the wave on the wire.
(b) Determine the frequency of this wave.

  The velocity of propagation of a transverse wd ;yt axu+ zu(8/3bny) eq5yhtave on a 2.0-m long string fixed at both ends is 200 m/s. Which one of the follow3ye+;uyayu) t (/bn8qh5 xtzding is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of al0gr odf873r500 Hz, which one of the following frequencies can set the string into resonant vibrati r 8olfa0dr73gon?

  A stretched string is observed ejlph-p*rrx1; 9wzs/r.; i lqto have four equal segments in a standing wave driven at a frequency ofpr*h;qsj rlp;iw 1 r/-xz9. el 480 Hz. What driving frequency will set up a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a frequency of 1cewg: iqz l,lp 1*x,f-2 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standifcq:,w gpx eli,*lz1-ng wave pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 xmz:u6t7klp0u ptq+b ( h*on0N. What should its length be if its funup0x7 h (q+up:t6ml0 ztk b*nodamental resonance frequency is 220 Hz?

  Find the first three harmoni, s*z 0cdk *t98usr1/doqae wjcs of a string of linear mass density 2.00 g/m and length 0.600 m when it is subjecteqwj dt 08e9s, 1/z *sokacur*dd to tension of 50.0 N.

A string of length 2.5 m is fixed at both ends. When the string vibr/n17s f6zx fxgates at a frequency of 85 Hz, a stand7 /gx n6sxfzf1ing wave with five loops is formed.
(a) Determine the distance between two adjacent nodes.
(b) Determine the wavelength of the waves that travel on the string.
(c) Determine the velocity of waves.
(d) Determine the fundamental frequency of this string.